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82336941232 = 24713373893929
BaseRepresentation
bin100110010101110101…
…0100000010010110000
321212112012110222200221
41030223222200102300
52322111224104412
6101454114222424
75643246311230
oct1145352402260
9255465428627
1082336941232
1131a12069677
1213b5a584a14
1379c2342490
143db12a1cc0
15221d73ab07
hex132baa04b0

82336941232 has 160 divisors (see below), whose sum is σ = 202218307200. Its totient is φ = 31602991104.

The previous prime is 82336941221. The next prime is 82336941251. The reversal of 82336941232 is 23214963328.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20954244 + ... + 20958172.

It is an arithmetic number, because the mean of its divisors is an integer number (1263864420).

Almost surely, 282336941232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82336941232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101109153600).

82336941232 is an abundant number, since it is smaller than the sum of its proper divisors (119881365968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82336941232 is a wasteful number, since it uses less digits than its factorization.

82336941232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4377 counting only the distinct ones).

The product of its digits is 373248, while the sum is 43.

The spelling of 82336941232 in words is "eighty-two billion, three hundred thirty-six million, nine hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 52 56 74 91 104 112 148 182 208 259 296 364 389 481 518 592 728 778 962 1036 1456 1556 1924 2072 2723 3112 3367 3848 3929 4144 5057 5446 6224 6734 7696 7858 10114 10892 13468 14393 15716 20228 21784 26936 27503 28786 31432 35399 40456 43568 51077 53872 55006 57572 62864 70798 80912 100751 102154 110012 115144 141596 145373 187109 201502 204308 220024 230288 283192 290746 357539 374218 403004 408616 440048 566384 581492 715078 748436 806008 817232 1017611 1162984 1309763 1430156 1496872 1528381 1612016 1889849 2035222 2325968 2619526 2860312 2993744 3056762 3779698 4070444 5239052 5720624 6113524 7559396 8140888 10478104 10698667 12227048 13228943 15118792 16281776 19868953 20956208 21397334 24454096 26457886 30237584 39737906 42794668 52915772 56550097 79475812 85589336 105831544 113100194 139082671 158951624 171178672 211663088 226200388 278165342 317903248 395850679 452400776 556330684 735151261 791701358 904801552 1112661368 1470302522 1583402716 2225322736 2940605044 3166805432 5146058827 5881210088 6333610864 10292117654 11762420176 20584235308 41168470616 82336941232